Fluid phase coexistence and critical behavior from simulations in the restricted Gibbs ensemble

Journal of Chemical Physics

Volumn 132, Issue 7, 2010, Pages

  Ashton, Douglas J ^a   Wilding, Nigel B ^a   Sollich, Peter ^b  

^a University of Bath   (United Kingdom)

^b KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COEXISTENCE CURVE; CRITICAL BEHAVIOR; CRITICAL POINTS; CRITICAL REGION; DENSITY FLUCTUATION; FINITE SYSTEM SIZE; FINITE-SIZE SCALING THEORY; FLUID-PHASE; GIBBS ENSEMBLE; GRAND CANONICAL ENSEMBLE; SIMPLE METHOD; SUBCRITICAL REGIONS; THERMODYNAMIC LIMITS;

APPROXIMATION THEORY; EQUATIONS OF STATE; GIBBS FREE ENERGY;

BINARY MIXTURES;

EID: 77149140460     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3316208     Document Type: Article

References (25)

1. J. Liu, N. B. Wilding, and E. Luijten, Phys. Rev. Lett. PRLTAO 0031-9007 97, 115705 (2006). 10.1103/PhysRevLett.97.115705 (Pubitemid 44396699)
2. J. Liu and E. Luijten, Phys. Rev. Lett. PRLTAO 0031-9007 92, 035504 (2004). 10.1103/PhysRevLett.92.035504
3. A. Z. Panagiotopoulos, Mol. Phys. MOPHAM 0026-8976 61, 813 (1987). 10.1080/00268978700101491
4. K. K. Mon and K. Binder, J. Chem. Phys. JCPSA6 0021-9606 96, 6989 (1992). 10.1063/1.462557
5. A. D. Bruce, Phys. Rev. E PLEEE8 1063-651X 55, 2315 (1997). 10.1103/PhysRevE.55.2315
6. This will be the case providing the small particles are treated grand canonically, in which case for a fixed chemical potential of the small particles, they simply serve to modify the effective interaction between the large particles.
7. N. B. Wilding, Phys. Rev. E PLEEE8 1063-651X 52, 602 (1995). 10.1103/PhysRevE.52.602
8. 1).
9. 1 for which the weight of PRG is concentrated.
10. D. Frenkel and B. Smit, Understanding Molecular Simulation (Academic, San Diego, 2002).
11. C. Borgs and R. Kotecky, Phys. Rev. Lett. PRLTAO 0031-9007 68, 1734 (1992). 10.1103/PhysRevLett.68.1734
12. J. R. Errington, Phys. Rev. E PLEEE8 1063-651X 67, 012102 (2003). 10.1103/PhysRevE.67.012102
13. 0. Empirically, however, the average of the two intersection densities continues to serve as an accurate estimate of the coexistence diameter.
14. K. Binder, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 43, 119 (1981). 10.1007/BF01293604
15. M. E. Fisher and S. -Y. Zinn, J. Phys. A JPHAC5 0305-4470 31, L629 (1998). 10.1088/0305-4470/31/37/002 (Pubitemid 128129780)
16. D. Nicolaides and A. D. Bruce, J. Phys. A JPHAC5 0305-4470 21, 233 (1988). 10.1088/0305-4470/21/1/028
17. M. M. Tsypin and H. W. J. Blöte, Phys. Rev. E PLEEE8 1063-651X 62, 73 (2000). 10.1103/PhysRevE.62.73 (Pubitemid 30897644)
18. c) is clearly even in x. However owing to the μ independence of the transformed distribution, the finding is more generally true.
19. R. Guida and J. Zinn-Justin, J. Phys. A JPHAC5 0305-4470 31, 8103 (1998). 10.1088/0305-4470/31/40/006 (Pubitemid 128141094)
20. A. D. Bruce and N. B. Wilding, Phys. Rev. Lett. PRLTAO 0031-9007 68, 193 (1992). 10.1103/PhysRevLett.68.193
21. N. B. Wilding and A. D. Bruce, J. Phys.: Condens. Matter JCOMEL 0953-8984 4, 3087 (1992). 10.1088/0953-8984/4/12/008
22. Y. C. Kim and M. E. Fisher, J. Phys. Chem. B JPCBFK 1089-5647 108, 6750 (2004). 10.1021/jp037071f
23. P. Sollich (unpublished).
24. A. M. Ferrenberg and R. H. Swendsen, Phys. Rev. Lett. PRLTAO 0031-9007 63, 1195 (1989). 10.1103/PhysRevLett.63.1195
25. Y. C. Kim and M. E. Fisher, Phys. Rev. E PLEEE8 1063-651X 68, 041506 (2003). 10.1103/PhysRevE.68.041506